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» On the Grundy Number of a Graph
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DM
2007
135views more  DM 2007»
15 years 6 months ago
Heavy fans, cycles and paths in weighted graphs of large connectivity
A set of paths joining a vertex y and a vertex set L is called (y, L)-fan if any two of the paths have only y in common, and its width is the number of paths forming it. In weight...
Jun Fujisawa
ICMLA
2009
15 years 4 months ago
Exact Graph Structure Estimation with Degree Priors
We describe a generative model for graph edges under specific degree distributions which admits an exact and efficient inference method for recovering the most likely structure. T...
Bert Huang, Tony Jebara
COMGEO
2011
ACM
15 years 1 months ago
A computational approach to Conway's thrackle conjecture
A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or at a proper crossing. Let t(n) denote the maximum ...
Radoslav Fulek, János Pach
TIT
2010
107views Education» more  TIT 2010»
15 years 1 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali
SIAMDM
2010
128views more  SIAMDM 2010»
15 years 4 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...